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sdas [7]
3 years ago
10

Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places

Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

Answer:

The probability is 0.1944

Step-by-step explanation:

Since we are rolling two dice, the number of possible results is 36

for us to get a sum of seven, these are the possible results;

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

The probability of rolling a sum of 7 is 6/36

For a sum of 12, we only have one possible result and that is 6,6

So the probability here is 1/36

If we have or in probability, we add up the individual probabilities

So, our probability here will be;

1/36 + 6/36

= 7/36 = 0.1944

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jarptica [38.1K]

Answer:

The equation of the line in standard form is:

6x + y = 62

Step-by-step explanation:

Given the points

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  • (14,-22)

Determining the slope between (10, 2) and (14, -22)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

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m=\frac{-22-2}{14-10}

m=-6

The point-slope form of the line equation is  

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

substituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = -6(x - 10)

y - 2 = -6x +60

adding 2 to both sides

y-2+2 = -6x + 60 + 2

y = -6x +  62

We can write the equation in the standard form such as

Ax + By = C

Thus,

y = -6x +  62

adding -6x to both sides

6x + y = -6x + 62 + -6x

6x + y = 62

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6x + y = 62

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The measure of angle CXE is 60°.

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